Topological field theories, string backgrounds and homotopy algebras

Abstract

String backgrounds are described as purely geometric objects related to moduli spaces of Riemann surfaces, in the spirit of Segal's definition of a conformal field theory. Relations with conformal field theory, topological field theory and topological gravity are studied. For each field theory, an algebraic counterpart, the (homotopy) algebra satisfied by the tree level correlators, is constructed.

12 pages

References in corpus (4)

• Introduction to string field theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• On operad structures of moduli spaces and string theory
• Two-dimensional topological gravity and equivariant cohomology

Cited by in corpus (5)

• The Classification of Two-Dimensional Extended Topological Field Theories
• On the structure of open-closed topological field theory in two dimensions
• Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
• Homotopy Gerstenhaber algebras and topological field theory
• From operads and PROPs to Feynman Processes